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Range Rule of Thumb Standard Deviation Calculator

Estimate the standard deviation of a data set quickly from its range.

Inputs

Results

Estimated standard deviation10
Estimated variance100

Chart

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Describe what you want to find — “range rule of thumb” — and jump to the right calculator.

How to use the range rule of thumb standard deviation calculator

Estimate the standard deviation of a data set quickly from its range. Enter data range (max minus min) in the field above; the estimated standard deviation, estimated variance are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “range rule of thumb”, “quick standard deviation estimate”, “estimate sd from range”, “calculate range rule of thumb standard deviation”, “find estimated standard deviation”.

Formula

Estimated standard deviation = range / 4
Estimated variance = (range / 4)^2

Variables

  • range — Data range (max minus min)

Worked example

With data range (max minus min) = 40, the calculator gives estimated standard deviation ≈ 10; estimated variance ≈ 100.

Frequently asked questions

What is the range rule of thumb standard deviation calculator used for?

Estimate the standard deviation of a data set quickly from its range. It helps with questions such as “range rule of thumb”, “quick standard deviation estimate”, “estimate sd from range”.

What is the formula for the range rule of thumb standard deviation calculation?

Estimated standard deviation = range / 4. Estimated variance = (range / 4)^2. Here range is data range (max minus min).

What inputs do I need for the range rule of thumb standard deviation calculator?

You need data range (max minus min). Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the range rule of thumb standard deviation calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the range rule of thumb standard deviation result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

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